Home / 2,116.40-3,174.93-730.08

Finding the Fourth Proportional to 2,116.40, 3,174.93 and 730.08

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Solution

The fourth proportional to 2,116.40, 3,174.93 and 730.08 is: 1,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.40 : 3,174.93 = 730.08 : x
  2. Step 2: Convert to fraction form
    2,116.40/3,174.93 = 730.08/x
  3. Step 3: Cross multiply
    2,116.40x = 3,174.93 × 730.08
  4. Step 4: Simplify right side
    2,116.40x = 2,317,952.89
  5. Step 5: Solve for x
    x = 2,317,952.89/2,116.40
  6. Step 6: Final answer
    x = 1,095.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.